9514 1404 393
Answer:
23°
Step-by-step explanation:
The angle a vector makes relative to the +x axis is found as ...
α = arctan(y/x) = arctan(4.30/10.3) ≈ 22.66°
The angle is about 23°.
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<em>Additional comment</em>
This vector resides in the first quadrant, so no adjustment of the angle is needed. In other quadrants, 180° may need to be added or subtracted from the angle given by the arctan function to arrive at the correct value. (Some calculators and spreadsheets have an ATAN2(x, y) function that takes signs into account.)
Answer:
p = 
Step-by-step explanation:
Given that p varies inversely with q then the equation relating them is
p = 
← k is the constant of variation
To find k use the condition p = 2 when q = 1, thus
k = pq = 2 × 1 = 2
p = ← equation of variation
Answer:1. 70% 2. -40%
Step-by-step explanation:hope this helped :)
Y = mx + b. This linear graph passes through A(0,50) and B(10,51)
m = (y₂-y₁)/(x₂-x₁)
m= (51-50)/10-0)
m=(1)(10)
y = (1/x) + b. To find b, you plugin the coordinates of either A or B,
say A(0,50):
50 = (1/10).(0) + b
50 = 0+b and b= 51
Hence the equation is y =0.1x + 50
Answer:
$42.02
Step-by-step explanation:
15% discount therefore if you want to find the original price it would be 100% plus 15% = 115%
Multiply the percentage (convert to decimal first) with the discounted value:
1.15(36.54) = 42.021
